Abstract
Two-loop QCD correction to massive spin-2 Graviton decaying to $q ~ + ~ \bar{q}~ + ~g$ is presented considering a generic universal spin-2 coupling to the SM through the conserved energy-momentum tensor. Such a massive spin-2 particle can arise in extra-dimensional models. The ultraviolet and infrared structure of the QCD amplitudes are studied. In dimensional regularisation, the infrared pole structure is in agreement with Catani's proposal, confirming the universal factorization property of QCD amplitudes, even with the spin-2 tensorial coupling. This computation now completes the full two-loop QCD corrections for the production of a spin-2 in association with a jet.
Highlights
Graph5aMC framework [25] with NLO+PS accuracy for a generic spin-2 particle
With the help of Reduze 2, all the two-loop diagrams are classified into the six different auxiliary topologies presented below: Here λ is the helicity and p3 is the momentum of the external gluon. n is an arbitrary light-like 4-vector
Using all the Master Integrals (MIs) we find the unrenormalized one-loop M (0)|M (1) and two-loop M (0)|M (2) matrix elements, which are presented
Summary
We consider a generic spin-2 particle minimally coupled to the SM fields through the conserved SM energy-momentum tensor. The effective action which describes a spin-2 particle (Gμν(x)) interacting with colored particles is given by [1,2,3,4, 44, 45]. Where gs is the strong coupling constant and ξ is gauge fixing parameter. LQCD is the QCD Lagrangian, given by. T a and f abc represent the generator and structure constants of SU (N ) gauge group, respectively. Throughout the computation, we consider SU (N ) as our gauge group and the QCD corresponds to N = 3. The following dimensionless invariants which appear in the argument of harmonic polylogarithms (HPL) [46] and two-dimensional HPLs [41] are defined:.
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